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Finding the Fourth Proportional to 879.03, 1,211.13 and 583.79

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Solution

The fourth proportional to 879.03, 1,211.13 and 583.79 is: 804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.03 : 1,211.13 = 583.79 : x
  2. Step 2: Convert to fraction form
    879.03/1,211.13 = 583.79/x
  3. Step 3: Cross multiply
    879.03x = 1,211.13 × 583.79
  4. Step 4: Simplify right side
    879.03x = 707,039.53
  5. Step 5: Solve for x
    x = 707,039.53/879.03
  6. Step 6: Final answer
    x = 804.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.